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Finding the Fourth Proportional to 67,082.63, 92,576.11 and 36,867.40

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Solution

The fourth proportional to 67,082.63, 92,576.11 and 36,867.40 is: 50,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082.63 : 92,576.11 = 36,867.40 : x
  2. Step 2: Convert to fraction form
    67,082.63/92,576.11 = 36,867.40/x
  3. Step 3: Cross multiply
    67,082.63x = 92,576.11 × 36,867.40
  4. Step 4: Simplify right side
    67,082.63x = 3,413,040,477.81
  5. Step 5: Solve for x
    x = 3,413,040,477.81/67,082.63
  6. Step 6: Final answer
    x = 50,878.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.